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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Convergence of conditional expectations and strong laws of large numbers for multivalued random variables
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by Fumio Hiai PDF
Trans. Amer. Math. Soc. 291 (1985), 613-627 Request permission

Abstract:

Fatou’s lemmas and Lebesgue’s convergence theorems are established for multivalued conditional expectations of random variables having values in the closed subsets of a separable Banach space. Strong laws of large numbers are also given for such multivalued random variables.
References
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 291 (1985), 613-627
  • MSC: Primary 60F15; Secondary 60B12
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0800254-X
  • MathSciNet review: 800254